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Finding the Fourth Proportional to 141.14, 193.19 and 137.09

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Solution

The fourth proportional to 141.14, 193.19 and 137.09 is: 187.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.14 : 193.19 = 137.09 : x
  2. Step 2: Convert to fraction form
    141.14/193.19 = 137.09/x
  3. Step 3: Cross multiply
    141.14x = 193.19 × 137.09
  4. Step 4: Simplify right side
    141.14x = 26,484.21
  5. Step 5: Solve for x
    x = 26,484.21/141.14
  6. Step 6: Final answer
    x = 187.64

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.